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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 471 · 40 questions
TalentJR

The method (LCM units): Take the whole job as the LCM of the days. Units a day for each person = job ÷ their days. Add for working together. Days = job ÷ units a day. The answer can be a fraction like 20/9 days. Someone works a few days and stops: find what is left, then share it out.

NameDateTime takenScore ___ / 40
  1. 1.Kabir and Zoya together finish a job in 12 days. Kabir alone takes 18 days. How many days would Zoya take alone?
  2. 2.Priya and Arjun together finish a job in 5 days. Priya alone takes 10 days. How many days would Arjun take alone?
  3. 3.Rahul and Arjun together finish a job in 3 days. Rahul alone takes 4 days. How many days would Arjun take alone?
  4. 4.Diya can finish a job in 11 days and Meera in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Vivaan can finish a job in 20 days and Saanvi in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Aarav can finish a job in 27 days and Ananya in 6 days. Aarav works alone for 9 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  7. 7.Zoya and Sneha together finish a job in 12 days. Zoya alone takes 30 days. How many days would Sneha take alone?
  8. 8.Isha can finish a job in 9 days and Zoya in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Pooja can finish a job in 6 days and Manav in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Pooja can finish a job in 9 days and Zoya in 18 days. Pooja works alone for 6 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  11. 11.Farhan can finish a job in 7 days and Aditya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Pooja and Manav together finish a job in 4 days. Pooja alone takes 5 days. How many days would Manav take alone?
  13. 13.Ananya can finish a job in 7 days and Manav in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Rahul can finish a job in 4 days and Tara in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Diya can finish a job in 11 days and Kavya in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Farhan can finish a job in 4 days and Vivaan in 8 days. Farhan works alone for 2 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  17. 17.Farhan can finish a job in 17 days and Meera in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  18. 18.Priya can finish a job in 7 days and Aarav in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Priya and Aarav together finish a job in 2 days. Priya alone takes 6 days. How many days would Aarav take alone?
  20. 20.Kavya works twice as fast as Karan. Together they finish a job in 9 days. How many days would Karan take alone?
  21. 21.Ananya can finish a job in 7 days and Nisha in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  22. 22.Isha and Kavya together finish a job in 8 days. Isha alone takes 9 days. How many days would Kavya take alone?
  23. 23.Rahul works twice as fast as Diya. Together they finish a job in 3 days. How many days would Diya take alone?
  24. 24.Manav can finish a job in 19 days and Sneha in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  25. 25.Meera can finish a job in 11 days and Farhan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Ishaan and Aarav together finish a job in 4 days. Ishaan alone takes 6 days. How many days would Aarav take alone?
  27. 27.Kabir can finish a job in 4 days and Priya in 8 days. Kabir works alone for 3 days and then stops. Priya finishes the rest. How many days does Priya take?
  28. 28.Ananya works three times as fast as Isha. Together they finish a job in 6 days. How many days would Isha take alone?
  29. 29.Aarav works three times as fast as Kavya. Together they finish a job in 7 days. How many days would Kavya take alone?
  30. 30.Dev can finish a job in 12 days and Rohan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Arjun works twice as fast as Rahul. Together they finish a job in 3 days. How many days would Rahul take alone?
  32. 32.Diya can finish a job in 24 days and Manav in 22 days. Diya works alone for 12 days and then stops. Manav finishes the rest. How many days does Manav take?
  33. 33.Rahul can finish a job in 16 days and Aditya in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  34. 34.Vivaan works three times as fast as Isha. Together they finish a job in 5 days. How many days would Isha take alone?
  35. 35.Aarav works three times as fast as Farhan. Together they finish a job in 10 days. How many days would Farhan take alone?
  36. 36.Rohan and Diya together finish a job in 7 days. Rohan alone takes 8 days. How many days would Diya take alone?
  37. 37.Vivaan can finish a job in 12 days and Pooja in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Meera and Arjun together finish a job in 12 days. Meera alone takes 16 days. How many days would Arjun take alone?
  39. 39.Priya can finish a job in 6 days and Rohan in 12 days. Priya works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  40. 40.Sneha can finish a job in 13 days and Vivaan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 36
  2. 10
  3. 12
  4. 44/15
  5. 140/27
  6. 4
  7. 20
  8. 1/6
  9. 12/5
  10. 6
  11. 91/20
  12. 20
  13. 105/22
  14. 20/9
  15. 48/55
  16. 4
  17. 32/85
  18. 28/11
  19. 3
  20. 27
  21. 32/63
  22. 72
  23. 9
  24. 90/209
  25. 176/27
  26. 12
  27. 2
  28. 24
  29. 28
  30. 20/3
  31. 9
  32. 11
  33. 9/80
  34. 20
  35. 40
  36. 56
  37. 12/5
  38. 48
  39. 6
  40. 260/33

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